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Finding the Fourth Proportional to 222.65, 307.40 and 144.00

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Solution

The fourth proportional to 222.65, 307.40 and 144.00 is: 198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.65 : 307.40 = 144.00 : x
  2. Step 2: Convert to fraction form
    222.65/307.40 = 144.00/x
  3. Step 3: Cross multiply
    222.65x = 307.40 × 144.00
  4. Step 4: Simplify right side
    222.65x = 44,266.57
  5. Step 5: Solve for x
    x = 44,266.57/222.65
  6. Step 6: Final answer
    x = 198.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.